Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Gogi Pantsulaia
Pages: [287] - [302]
Received Date: May 5, 2009; Revised June 3, 2009
Submitted by: Tian Xiao He
We give an extension of the notion of generators of shy sets in Polish topological vector spaces [8] to all Polish groups. By a new approach supported on the technique of generators of shy sets, we extend Randal Dougherty criterion of shyness for subsets (cf. [3], Proposition 12, pp. 87) in the product of unimodular Polish groups that are not compact.
product of unimodular Polish groups, shy, criterion of shyness.
